GATE XL Quantitative Aptitude PYQs & Answers

Questions 1–10 of 42. Imported answers require independent review unless marked reviewed.

An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?

Your answerChoose one option.

₹ 604.8; 10%

₹ 504; 20%

₹ 604.8; 12%

₹ 720; 15%

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A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Violet balls is 50. (ii) The sum of Violet and Green balls is 50. (iii) The sum of Yellow and Red balls is 50. (iv) The sum of Violet and twice the number of Red balls is 50. Which one of the following Pie charts correctly represents the balls in the bag?

Your answerChoose one option.

Diagram for Life Sciences question 5 (figure 2)

Diagram for Life Sciences question 5 (figure 3)

Diagram for Life Sciences question 5 (figure 4)

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Consider a five-digit number

that has distinct digits

, and

, and satisfies the following conditions:

If integers 1 through 5 are used to construct such a number, the value of

is:

Your answerChoose one option.

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A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg.

The cost of the variety P is ₹ 800 for 5 kg.

The cost of the variety Q is ₹ 800 for 4 kg.

If the person gets 8% profit, what is the P:Q ratio (by weight)?

Your answerChoose one option.

5:4

3:4

3:2

1:1

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Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?

Note: The figure shown is representative.

Your answerChoose one option.

10.5

11.0

12.0

12.5

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Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination of elements, they conclude that the spell does not work.

How many attempts does each wizard make before coming to this conclusion, independently?

Your answerChoose one option.

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In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4ᵗʰ of the number of students who like other branches. The number of students who like both their core and other branches is 500.

The number of students who like their core branches is

Your answerChoose one option.

1,800

3,500

1,600

1,500

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For positive non-zero real variables x and y, if

then, the value of

Your answerChoose one option.

1/2

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In the sequence 6, 9, 14, x, 30, 41, a possible value of

Your answerChoose one option.

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A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of

Your answerChoose one option.

1% profit

2% profit

1% loss

2% loss

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GATE XL Quantitative Aptitude PYQs

How to practice Quantitative Aptitude

Question 3

Question 5

Question 8

Question 9

Question 10

Question 2

Question 3

Question 4

Question 5

Question 7